6493320 has 96 divisors (see below), whose sum is σ = 22365720. Its totient is φ = 1628160.

The previous prime is 6493309. The next prime is 6493321. The reversal of 6493320 is 233946.

6493320 = T₁₈₇ + T₁₈₈ + ... + T₃₅₆.

6493320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6140484 + 352836 = 2478^2 + 594^2 .

It is a cake number, because a cake can be divided into 6493320 parts by 339 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (6493321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5590 + ... + 6650.

Almost surely, 2^6493320 is an apocalyptic number.

6493320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182860).

6493320 is an abundant number, since it is smaller than the sum of its proper divisors (15872400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6493320 is a wasteful number, since it uses less digits than its factorization.

6493320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6493320 is about 2548.1993642570. The cubic root of 6493320 is about 186.5616047111.

It can be divided in two parts, 649 and 3320, that added together give a square (3969 = 63²).

The spelling of 6493320 in words is "six million, four hundred ninety-three thousand, three hundred twenty".